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Finding the Fourth Proportional to 123,311.60, 184,967.40 and 102,575.60

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Solution

The fourth proportional to 123,311.60, 184,967.40 and 102,575.60 is: 153,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,311.60 : 184,967.40 = 102,575.60 : x
  2. Step 2: Convert to fraction form
    123,311.60/184,967.40 = 102,575.60/x
  3. Step 3: Cross multiply
    123,311.60x = 184,967.40 × 102,575.60
  4. Step 4: Simplify right side
    123,311.60x = 18,973,142,035.44
  5. Step 5: Solve for x
    x = 18,973,142,035.44/123,311.60
  6. Step 6: Final answer
    x = 153,863.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.